Find four angles in different quadrants with the reference angle 15^{circ}. Enter your answers for 0^{circ} leq theta leq 360^{circ} in increasing order.

Question

Accepted Answer

Step:1 ：Define the reference angle as (15^{circ}).Step:2 ：In the first quadrant, the angle is just the reference angle itself, which is (15^{circ}).Step:3 ：In the second quadrant, the angle is (180^{circ} - 15^{circ} = 165^{circ}).Step:4 ：In the third quadrant, the angle is (180^{circ} + 15^{circ} = 195^{circ}).Step:5 ：In the fourth quadrant, the angle is (360^{circ} - 15^{circ} = 345^{circ}).Step:6 ：Final Answer: The four angles in different quadrants with the reference angle (15^{circ}) are (boxed{15^{circ}, 165^{circ}, 195^{circ}, 345^{circ}}).

Answer

Step: 1 ：Define the reference angle as (15^{circ}).Step: 2 ：In the first quadrant, the angle is just the reference angle itself, which is (15^{circ}).Step: 3 ：In the second quadrant, the angle is (180^{circ} - 15^{circ} = 165^{circ}).Step: 4 ：In the third quadrant, the angle is (180^{circ} + 15^{circ} = 195^{circ}).Step: 5 ：In the fourth quadrant, the angle is (360^{circ} - 15^{circ} = 345^{circ}).Step: 6 ：Final Answer: The four angles in different quadrants with the reference angle (15^{circ}) are (boxed{15^{circ}, 165^{circ}, 195^{circ}, 345^{circ}}).

Find four angles in different quadrants with the reference angle $15^{\circ}$ . Enter your answers for $0^{\circ} \leq θ \leq 360^{\circ}$ in increasing order.

Answer

Popular Problems

Find four angles in different quadrants with the reference angle 15∘. Enter your answers for 0∘≤θ≤360∘ in increasing order.

Answer

Popular Problems

Find four angles in different quadrants with the reference angle $15^{\circ}$ . Enter your answers for $0^{\circ} \leq θ \leq 360^{\circ}$ in increasing order.